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Preface
, J. Cottingham, R. Stootfhoff, and D. Murdoch (eds.), Cambridge: Cambridge University Press, 1984.
–––, [PW 3], The Philosophical Writings of Descartes (Volume 3), J. Cottingham, R. Stoothoff, D. Murdoch, and A. Kenny (eds.), Cambridge: Cambridge University Press, 1991. Originally published, June 6, 2015 and revised for an entry on academia.edu on October 7, 2023.
Absolute Certainty
Back in 2015, an interesting discussion took place after main business hours at work where I emphasized that not all knowledge was empirical knowledge.
We also discussed certainty.
The person I was discussing and debating with claimed that one cannot be sure that God exists or that Christianity was certain.
I stated that only the first cause God, being the only infinite being, can have one hundred percent certain knowledge, one hundred percent certainty. Only God can have absolute certainty.
Now to be fair to my friend, even a Professor and mentor of mine at Trinity Western University, and a very intelligent theologian, incorrectly in my view, reasoned a Christian could hold to Christianity and the Gospel as one hundred percent certain as a worldview. Rather, I view the worldview as externally and internally reasonably certain against all counter arguments.
Therefore, the person I was discussing and debating with had at least some intellectual merit in stating that Christians were too certain that they were right. But I disagreed with his conclusion that certainty necessarily led to fundamentalism and intolerance, as in radical Islam. He eventually admitted that I was certain of my Christian faith and philosophy and yet remained tolerant and open-minded.
Probability
Ellery Eells explains probability is a numerical value that can be attached to items of various events, and kinds of events and measures the degree to which this may or should be expected. Eells (1996: 649). Eells reasons there are multiple interpretations of probability and there are abstract formal calculi and interpretations of the calculi. Eells (1996: 649).
Blackburn writes that 'probability is a non-negative, additive set function whose maximum value is unity'. Blackburn (1996: 304). Applying probability in the real world is more difficult and the first application is statistical. Blackburn (1996: 304). Statistical as in the tossing of the coin, heads versus tails and the frequency of a particular outcome and then calculating the probability of the outcome. Blackburn (1996: 304).
One account of probability is therefore known as 'frequency theory', as in the probability of an event with frequency of occurrence. Blackburn (1996: 304).
A second account of probability is described as 'an hypothesis as probable when the evidence bears a favoured relationship to it'. Blackburn (1996: 304). These are not empirical measures of frequencies. Basically they would be based on philosophical deductions based in reason.
A third approach is sometimes referred to as subjectivism or personalism. Basically not an objective or real evaluation of the world, but rather a subjective evaluation of personal reality. Blackburn (1996: 304). However, Blackburn does write that one should not be governed by empirical frequencies and not by 'licentious thinking' (without restraint). Blackburn (1996: 304).
Certainty
Edward Gettier has argued in ‘Is Justified True Belief Knowledge?’ that believing something is true does not make it knowledge because the person lacks sufficient conditions for knowing a proposition. Gettier (1997)(1963: 3). In other words, many true propositions would have been deduced as true, not by knowledge but by felicitous (fortunate) coincidence. Klein (2005)(1998: 2-3).
I can agree that finite human beings can deduce that something is true without really knowing it. As well, with the human lack of 100% knowledge of anything (only the infinite God has 100% knowledge), it does mean that it is also possible that there could be conditions in existence not known and that a proposition that is held as true is really false. However, I do not think that Gettier’s argument should trouble those who view the Christian faith as certain because Klein points out concerning Gettier’s view that to many thinkers felicitous coincidence can be avoided if the reasons which justify belief are such that they cannot be defeated by further truths. Klein (2005)(1998: 2-3). Klein’s certainty concept in regard to felicitous coincidence is similar to the one described below from The Cambridge Dictionary of Philosophy.
In other words, if views are reasoned by deduction and evidence, they can be considered knowledge provided they are not countered by superior arguments. This does not require 100% certainty of anything, but rather an accurate understanding of conditions that would lead to the formation of propositions and arguments.
As mentioned previously on this website, from my PhD, a definition of certainty which I would consider helpful would be along the lines of what I found in The Cambridge Dictionary of Philosophy. Peter D. Klein describes the Cartesian account of certainty as being that a proposition is true if there are no legitimate grounds whatsoever for doubting it. Klein (1996: 113). I like the similar idea that a proposition is certain if there are no counter propositions that are superior. Therefore in regard to the religiously historical, Christian faith, and its belief in Scripture inspired by God, the atoning work of Christ, the resurrection, and everlasting life, for the regenerate; these things could be viewed as certain provided there are no legitimate counter arguments that are superior. I believe that evidence shows Christianity is philosophically certain in this sense.
A classic view on certainty discussed in my PhD and in a previous blog article, I shall briefly review is that of Ludwig Wittgenstein: He does admit that there is in a sense objective truth, but something would be objectively true only within a system of reason and knowledge through the understanding of reasonable persons. Wittgenstein (1951)(1979: 108). His view allows for the logical possibility that something considered objective truth in one system, is not objective truth in another. Wittgenstein (1951)(1979: 108).
Philosophy should, therefore, not be understood as primarily making discoveries, as much a reminding persons of the issues that need to be dealt with when one turns to unfamiliar and uncertain issues. Wittgenstein does act with certainty, but it is his own. This does not in his mind justify his view as objective truth to others, it is simply belief. Wittgenstein (1951)(1979: 175). He reasons that ‘knowledge and certainty belong in different categories.’ Obtaining knowledge is very important, and more vital than having certitude. Wittgenstein (1951)(1979: 308).
Knowledge and certainty are two different mental states. Wittgenstein (1951)(1979: 308).
A classic view, but not one I hold to from what I noted.
In regard to probability, I suppose that truth claims could also be made in terms of probability as well as certainty. For example, one could hypothetically state Christianity is 9?% probable using Blackburn's second account as in 'an hypothesis as probable when the evidence bears a favoured relationship to it.'
However, providing a number as percentage does seem somewhat subjective in comparison to using certainty, although not without intellectual value.
Eells states three axioms for probability:
1. Pr (Probability)(X)>0 for all
2. Pr (Probability)(X)=1 if X is necessary
3. Pr (Probability)(X (or) Y) = Pr (Probability) (X) + Pr (Probability) (Y) where means logical disjunction or set theoretical union, if X and Y are mutually exclusive. X and Y may be contradictions that both cannot both logically occur as events. Eells reasons these are provable axioms. Eells (1996: 649).
BLACKBURN, SIMON (1996) Oxford Dictionary of Philosophy, Oxford, Oxford University Press.
Back in 2015, an interesting discussion took place after main business hours at work where I emphasized that not all knowledge was empirical knowledge.
We also discussed certainty.
The person I was discussing and debating with claimed that one cannot be sure that God exists or that Christianity was certain.
I stated that only the first cause God, being the only infinite being, can have one hundred percent certain knowledge, one hundred percent certainty. Only God can have absolute certainty.
Now to be fair to my friend, even a Professor and mentor of mine at Trinity Western University, and a very intelligent theologian, incorrectly in my view, reasoned a Christian could hold to Christianity and the Gospel as one hundred percent certain as a worldview. Rather, I view the worldview as externally and internally reasonably certain against all counter arguments.
Therefore, the person I was discussing and debating with had at least some intellectual merit in stating that Christians were too certain that they were right. But I disagreed with his conclusion that certainty necessarily led to fundamentalism and intolerance, as in radical Islam. He eventually admitted that I was certain of my Christian faith and philosophy and yet remained tolerant and open-minded.
Probability
Ellery Eells explains probability is a numerical value that can be attached to items of various events, and kinds of events and measures the degree to which this may or should be expected. Eells (1996: 649). Eells reasons there are multiple interpretations of probability and there are abstract formal calculi and interpretations of the calculi. Eells (1996: 649).
Blackburn writes that 'probability is a non-negative, additive set function whose maximum value is unity'. Blackburn (1996: 304). Applying probability in the real world is more difficult and the first application is statistical. Blackburn (1996: 304). Statistical as in the tossing of the coin, heads versus tails and the frequency of a particular outcome and then calculating the probability of the outcome. Blackburn (1996: 304).
One account of probability is therefore known as 'frequency theory', as in the probability of an event with frequency of occurrence. Blackburn (1996: 304).
A second account of probability is described as 'an hypothesis as probable when the evidence bears a favoured relationship to it'. Blackburn (1996: 304). These are not empirical measures of frequencies. Basically they would be based on philosophical deductions based in reason.
A third approach is sometimes referred to as subjectivism or personalism. Basically not an objective or real evaluation of the world, but rather a subjective evaluation of personal reality. Blackburn (1996: 304). However, Blackburn does write that one should not be governed by empirical frequencies and not by 'licentious thinking' (without restraint). Blackburn (1996: 304).
Certainty
Edward Gettier has argued in ‘Is Justified True Belief Knowledge?’ that believing something is true does not make it knowledge because the person lacks sufficient conditions for knowing a proposition. Gettier (1997)(1963: 3). In other words, many true propositions would have been deduced as true, not by knowledge but by felicitous (fortunate) coincidence. Klein (2005)(1998: 2-3).
I can agree that finite human beings can deduce that something is true without really knowing it. As well, with the human lack of 100% knowledge of anything (only the infinite God has 100% knowledge), it does mean that it is also possible that there could be conditions in existence not known and that a proposition that is held as true is really false. However, I do not think that Gettier’s argument should trouble those who view the Christian faith as certain because Klein points out concerning Gettier’s view that to many thinkers felicitous coincidence can be avoided if the reasons which justify belief are such that they cannot be defeated by further truths. Klein (2005)(1998: 2-3). Klein’s certainty concept in regard to felicitous coincidence is similar to the one described below from The Cambridge Dictionary of Philosophy.
In other words, if views are reasoned by deduction and evidence, they can be considered knowledge provided they are not countered by superior arguments. This does not require 100% certainty of anything, but rather an accurate understanding of conditions that would lead to the formation of propositions and arguments.
As mentioned previously on this website, from my PhD, a definition of certainty which I would consider helpful would be along the lines of what I found in The Cambridge Dictionary of Philosophy. Peter D. Klein describes the Cartesian account of certainty as being that a proposition is true if there are no legitimate grounds whatsoever for doubting it. Klein (1996: 113). I like the similar idea that a proposition is certain if there are no counter propositions that are superior. Therefore in regard to the religiously historical, Christian faith, and its belief in Scripture inspired by God, the atoning work of Christ, the resurrection, and everlasting life, for the regenerate; these things could be viewed as certain provided there are no legitimate counter arguments that are superior. I believe that evidence shows Christianity is philosophically certain in this sense.
A classic view on certainty discussed in my PhD and in a previous blog article, I shall briefly review is that of Ludwig Wittgenstein: He does admit that there is in a sense objective truth, but something would be objectively true only within a system of reason and knowledge through the understanding of reasonable persons. Wittgenstein (1951)(1979: 108). His view allows for the logical possibility that something considered objective truth in one system, is not objective truth in another. Wittgenstein (1951)(1979: 108).
Philosophy should, therefore, not be understood as primarily making discoveries, as much a reminding persons of the issues that need to be dealt with when one turns to unfamiliar and uncertain issues. Wittgenstein does act with certainty, but it is his own. This does not in his mind justify his view as objective truth to others, it is simply belief. Wittgenstein (1951)(1979: 175). He reasons that ‘knowledge and certainty belong in different categories.’ Obtaining knowledge is very important, and more vital than having certitude. Wittgenstein (1951)(1979: 308).
Knowledge and certainty are two different mental states. Wittgenstein (1951)(1979: 308).
A classic view, but not one I hold to from what I noted.
In regard to probability, I suppose that truth claims could also be made in terms of probability as well as certainty. For example, one could hypothetically state Christianity is 9?% probable using Blackburn's second account as in 'an hypothesis as probable when the evidence bears a favoured relationship to it.'
However, providing a number as percentage does seem somewhat subjective in comparison to using certainty, although not without intellectual value.
Eells states three axioms for probability:
1. Pr (Probability)(X)>0 for all
2. Pr (Probability)(X)=1 if X is necessary
3. Pr (Probability)(X (or) Y) = Pr (Probability) (X) + Pr (Probability) (Y) where means logical disjunction or set theoretical union, if X and Y are mutually exclusive. X and Y may be contradictions that both cannot both logically occur as events. Eells reasons these are provable axioms. Eells (1996: 649).
BLACKBURN, SIMON (1996) Oxford Dictionary of Philosophy, Oxford, Oxford University Press.
BLACKBURN, S. (1996) 'First Cause Argument', in Oxford Dictionary of Philosophy, Oxford, Oxford University Press.
BLACKBURN, S. (1996) ‘Regress’, in Oxford Dictionary of Philosophy, Oxford, Oxford University Press.
BRADLEY, RAYMOND D. (1996) ‘Infinite Regress Argument’, in Robert Audi, (ed.), The Cambridge Dictionary of Philosophy, Cambridge, Cambridge University Press.
BROWNING, W. R. F. (1997) 'Alpha', in Oxford Dictionary of The Bible, Oxford, Oxford University Press.
CONWAY DAVID A. AND RONALD MUNSON (1997) The Elements of Reasoning, Wadsworth Publishing Company, New York.
CRAIG, WILLIAM LANE, (1991)(2006) ‘The Existence of God and the Beginning of the Universe’,Truth: A Journal of Modern Thought 3 (1991) 85-96. http://www.leaderu.com/truth/3truth11.html pp. 1-18.
DESCARTES, RENE (1637) Discourse on the Method, PW 1, 121.
KLEIN, PETER D. (1998, 2005). ‘Epistemology’, in E. Craig (ed.), Routledge Encyclopedia of Philosophy, London, Routledge.
WITTGENSTEIN, LUDWIG (1951)(1979) On Certainty, Basil Blackwell, Oxford.
EELLS, ELLERY (1996) 'Probability', in Robert Audi (ed.), The Cambridge Dictionary of Philosophy, Cambridge, pp. 649-650. Cambridge University Press.
GETTIER, EDMUND L. (1997)(1963) ‘Is Justified True Belief Knowledge?’, in Analysis 23, 1963, 121-123, Nottingham, England. Analysis 23. http://www.ditext.com/gettier/gettier.html
GETTIER, EDMUND L. (1997)(1963) ‘Is Justified True Belief Knowledge?’, in Analysis 23, 1963, 121-123, Nottingham, England. Analysis 23. http://www.ditext.com/gettier/gettier.html
GIJSBERS, VICTOR, (2006) ‘Theistic Arguments: First Cause’ http://positiveatheism.org/faq/firstcause.htm pp. 1-2.
KEOHANE, JONATHAN, (1997) ‘Big Bang Theory’ http://imagine.gsfc.nasa.gov/docs/ask_astro/answers/971108a.html p. 1.
KLEIN, PETER D. (1996) ‘Certainty’, in Robert Audi, (ed), The Cambridge Dictionary of Philosophy, Cambridge, Cambridge University Press.
KLEIN, PETER D. (1998, 2005). ‘Epistemology’, in E. Craig (ed.), Routledge Encyclopedia of Philosophy, London, Routledge.
KREEFT, PETER, (2006) ‘The First Cause Argument’ excerpted from Fundamentals of Faith.
http://catholiceducation.org/articles/apologetics/ap0168.html pp. 1-5.
SKLAR, LAWRENCE, (1996) ‘Philosophy of Science’, in Robert Audi, (ed), The Cambridge Dictionary of Philosophy, Cambridge, Cambridge University Press.
WITTGENSTEIN, LUDWIG (1951)(1979) On Certainty, Basil Blackwell, Oxford.
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Rene Descartes was referenced by Klein and noted by me from Stanford Encyclopedia of Philosophy
Descartes, Rene, [PW 2], The Philosophical Writings of Descartes (Volume 2)
Cited
'Certainty, or the attempt to obtain certainty, has played a central role in the history of philosophy. Some philosophers have taken the kind of certainty characteristic of mathematical knowledge to be the goal at which philosophy should aim. In the Republic, Plato says that geometry “draws the soul towards truth and produces philosophic thought by directing upwards what we now wrongly direct downwards” (527b). Descartes also thought that a philosophical method that proceeds in a mathematical way, enumerating and ordering everything exactly, “contains everything that gives certainty to the rules of mathematics” (Discourse on the Method, PW 1, p. 121).' DESCARTES, RENE (1637) Discourse on the Method, PW 1, 121.